National Association
| Year | Player | Team(s) | Runs |
|---|---|---|---|
| 1871 | Ross Barnes | Boston Red Stockings | 66 |
| 1872 | Dave Eggler | New York Mutuals | 94 |
| 1873 | Ross Barnes | Boston Red Stockings | 125 |
| 1874 | Cal McVey | Boston Red Stockings | 91 |
| 1875 | Ross Barnes | Boston Red Stockings | 115 |
Read more about this topic: List Of Major League Baseball Runs Scored Champions
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—Susan B. Anthony (1820–1906)